Finding the Third Proportional to 95,582 and 166,514

Step by Step Solution

1. Step 1: Write the proportion equation
   95,582 : 166,514 = 166,514 : x
2. Step 2: Convert to fraction form
   95,582/166,514 = 166,514/x
3. Step 3: Cross multiply
   95,582x = 166,514 × 166,514
4. Step 4: Simplify right side
   95,582x = 27,726,912,196
5. Step 5: Solve for x
   x = 27,726,912,196/95,582
6. Step 6: Final answer
   x = 290,085.08